Solve the system by finding the reduced row-echelon form of the augmented matrix. I - y + 2z -3x + 6y + 6z = -12 I – 4y – 10z reduced row-echelon form: How many solutions are there to this system? A. None B. Exactly 1 C. Exactly 2 D. Exactly 3 E. Infinitely many F. None of the above If there is one solution, give its coordinates in the answer spaces below. If there are infinitely many solutions, enter z in the answer blank for z, enter a formula for y in terms of z in the answer blank for y and enter a formula for x in terms of z in the answer blank for z. If there are no solutions, leave the answer blanks for x, y and z empty.
Solve the system by finding the reduced row-echelon form of the augmented matrix. I - y + 2z -3x + 6y + 6z = -12 I – 4y – 10z reduced row-echelon form: How many solutions are there to this system? A. None B. Exactly 1 C. Exactly 2 D. Exactly 3 E. Infinitely many F. None of the above If there is one solution, give its coordinates in the answer spaces below. If there are infinitely many solutions, enter z in the answer blank for z, enter a formula for y in terms of z in the answer blank for y and enter a formula for x in terms of z in the answer blank for z. If there are no solutions, leave the answer blanks for x, y and z empty.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
Problem 4CC
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Transcribed Image Text:Solve the system by finding the reduced row-echelon form of the augmented matrix.
I - y + 2z
-3x + 6y + 6z
= -12
I – 4y – 10z
reduced row-echelon form:
How many solutions are there to this system?
A. None
B. Exactly 1
C. Exactly 2
D. Exactly 3
E. Infinitely many
F. None of the above
If there is one solution, give its coordinates in the answer spaces below.
If there are infinitely many solutions, enter z in the answer blank for z, enter a formula for y in terms of z in the answer blank for y and enter a formula for x in terms of z in the answer blank for z.
If there are no solutions, leave the answer blanks for x, y and z empty.
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